Abstract: In the big data scenario, data security is as important as identity security. The identity blindness deserves additional attention. In order to meet the needs of quantum entrusted computing in the blockchain scenario, this paper proposes an anonymous quantum entrusted computing protocol which considering both data security and identity security. In our protocol, the user participates in the delegated computing protocol anonymously, and can send the delegation and receive the results without displaying the identity information. The protocol can achieve the above objectives without a trusted third party. When sending the calculation delegation, Alice uses the ring network to confuse the identity to hide the specific sender. Bob uses controlled quantum teleportation to transmit quantum states safely and anonymously in the process of feeding back the entrusted calculation results. The protocol introduces blockchain technology for Charlie, the third party, to anonymous payment and anonymous approval. The blockchain and quantum technology used in the protocol have been basically realized, so the protocol has high feasibility. Furthermore, we propose an improved protocol for users to verify the results of delegated calculations by comparing the results of multiple principals. The protocol proposed is a practical protocol framework for big data environment and has good portability